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On Stochastic Broadcast Control of Swarms

  • Ilana SegallEmail author
  • Alfred Bruckstein
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9882)

Abstract

We present a model for controlling swarms of mobile agents via a broadcast control, detected by a random number of agents in the swarm. The agents that detect the control signal become the ad-hoc leaders of the swarm, while they detect the exogenous control. The agents are assumed to be velocity controlled, identical, anonymous, oblivious units with unlimited visibility. Assuming unlimited visibility decouples the problem of emergent behavior in a swarm from that of keeping the visibility graph complete, which has been thoroughly discussed in [10]. Each agent applies a linear local gathering control, based on the relative position of its neighbors. The detected exogenous control is superimposed by the leaders on the local gathering control. We show that in each time interval of a piecewise constant system, where the system evolves as a time-independent dynamic linear system, the swarm asymptotically aligns on a line in the direction of the exogenous control and all the agents move with identical speed. The speed of the swarm is set by the ratio between the numbers of agents receiving the control signal and the total number of agents in the swarm. A new time interval is triggered by a change in the broadcast control signal or in the agents detecting it, i.e. the “leadership team”.

References

  1. 1.
    Azuma, S., Yoshimura, R., Sugie, T.: Broadcast control of multi-agent systems. Automatica 49, 2307–2316 (2013)MathSciNetCrossRefGoogle Scholar
  2. 2.
    Bellaiche, L.I., Bruckstein, A.: Continuous time gathering of agents with limited visibility and bearing-only sensing. arXiv (2015)Google Scholar
  3. 3.
    Dimarogonas, D.V., Gustavi, T., Egerstedt, M., Hui, X.: On the number of leaders needed to ensure connectivity. In: Proceedings of the 47th IEEE Conference on Decision and Control (2008)Google Scholar
  4. 4.
    Gustavi, T., Dimarogonas, D.V., Egerstedt, M., Hui, X.: On the number of leaders needed to ensure connectivity in arbitrary dimensions. In: 17th Mediteranean Conference on Control and Automation (2009)Google Scholar
  5. 5.
    Han, J., Li, M., Guo, L.: Soft control on collective behavior of a group of autonomous agents by a shill agent. J. Syst. Sci. Compexity 19, 54–62 (2006)MathSciNetCrossRefGoogle Scholar
  6. 6.
    Han, J., Wang, L.: Nondestructive intervention to multiagent systems through an inteligent agent. PLoS ONE 8(5), e61542 (2013)CrossRefGoogle Scholar
  7. 7.
    Kailath, T.: Linear Systems. Prentice Hall, Upper Saddle River (1980)zbMATHGoogle Scholar
  8. 8.
    Rahmani, A., Mesbahi, M.: On the controlled agreement problem. In: Proceedings of the American control Conference (2006)Google Scholar
  9. 9.
    Rahmani, A., Mesbahi, M.: Pulling the strings on agreement: anchoring, controllability, and graph automorphisms. In: Proceedings of the 2007 American Control Conference (2007)Google Scholar
  10. 10.
    Segall, I., Bruckstein, A.: On stochastic broadcast control of multi-agent swarms. arXiv (2016)Google Scholar
  11. 11.
    Tanneri, H.G.: On the controllability of nearest neighbor interconnections. In: 43rd Conference on Decision and Control (2004)Google Scholar

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Technion, Israel Institute of TechnologyHaifaIsrael

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